论文标题
Holomorphy的标准相对于扰动自动接合操作员连续功能的耦合常数
Criterion of holomorphy with respect to a coupling constant of continuous functions of a perturbed self-adjoint operator
论文作者
论文摘要
Sufficient and necessary conditions on the spectral measure of a self-adjoint operator $A$, acting in a Hilbert space, are obtained, under which for any continuous scalar function the operator function $ϕ(A+γB)$ is holomorphic with rspect to the coupling constant $γ$ in a neighborhood of $γ=0$, where $B$ is a self-adjoint operator.在$ b $是排名第一的运营商的情况下，获得的结果最高。
Sufficient and necessary conditions on the spectral measure of a self-adjoint operator $A$, acting in a Hilbert space, are obtained, under which for any continuous scalar function the operator function $ϕ(A+γB)$ is holomorphic with rspect to the coupling constant $γ$ in a neighborhood of $γ=0$, where $B$ is a self-adjoint operator. The sharpest results are obtained in the case where $B$ is a rank-one operator.
